HOutput Anti-Disturbance Control of Stochastic Markov Jump Systems with Multiple Disturbances

Mouquan Shen, Hainan Zhang, Sing Kiong Nguang, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

This article is concerned with the anti-disturbance control for Markov jump systems with matched and mismatched disturbances. First, the matched part is estimated by an output-based disturbance observer. Meanwhile, the mismatched part is attenuated by the H_∞ controller. Therefore, a composite static output control scheme is built to make the closed-loop system stable with the required H_∞ performance. Second, an integral sliding-mode output (ISMO) control approach is proposed to restrain the mentioned disturbances by using the upper bounds of disturbances. Third, an ISMO anti-disturbance strategy is established to integrate the advantages of the above two methods. It is noteworthy to point out that the proposed output observer structure could be reduced to the state case. Moreover, the diagonal constraint on Lyapunov variables is removed in this article. Finally, a numerical example is simulated to validate the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)7633-7643
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume51
Issue number12
DOIs
Publication statusPublished - 2021 Dec 1

Keywords

  • Anti-disturbance control
  • H∞ control
  • Markov jump systems (MJSs)

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

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